Question
For 
- e
Hint:
is form of 
. This is known as an indeterminate form, because it is unknown. One to the power infinity is unknown because infinity itself is endless.
The correct answer is:
this is known as an indeterminate form, because it is unknown. One to the power infinity is unknown because infinity itself is endless. Take a look at some examples of indeterminate forms. To solve this limit we will use the following formula -
There are seven indeterminate forms which are typically considered in the literature
Related Questions to study
Three particles of the same mass lie in the (X,Y) plane, The (X,Y) coordinates of their positions are (1,1),(2,2) and (3,3) respectively. The (X,Y) coordinates of the center of mass are
Three particles of the same mass lie in the (X,Y) plane, The (X,Y) coordinates of their positions are (1,1),(2,2) and (3,3) respectively. The (X,Y) coordinates of the center of mass are
given that 
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or 
given that
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
If 
, then the value of 
is
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
If , then the value of is
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
Particles of 1gm,1gm,2gm,2gm are placed at the comers A,B,C,D, respectively of a square of side 
as shown in figure. Find the distance of centre of mass of the system from geometrical center of square.
Particles of 1gm,1gm,2gm,2gm are placed at the comers A,B,C,D, respectively of a square of side as shown in figure. Find the distance of centre of mass of the system from geometrical center of square.
If 
then 
has the value
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
If then has the value
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 or
If 
then 
is
If then is
After the drop detaches its surface energy is
After the drop detaches its surface energy is
If 
the......... radius of the drop when it detaches from the dropper is approximately
If the......... radius of the drop when it detaches from the dropper is approximately
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r<<R) is:
If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r<<R) is:
where a,b,c are real and non-zero=
The basic problem of this indeterminate form is to know from where 
tends to one (right or left) and what function reaches its limit more rapidly.
where a,b,c are real and non-zero=
The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
Which graph present the variation of surface tension with temperature over small temperature ranges for coater.
Which graph present the variation of surface tension with temperature over small temperature ranges for coater.
The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
The basic problem of this indeterminate form is to know from where tends to one (right or left) and what function reaches its limit more rapidly.
